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DLMF:28.31.E3 - MaRDI portal

DLMF:28.31.E3 (Q9207)

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DLMF:28.31.E3
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    Statements

    DLMF defining formula
    w ′′ + ξ ⁢ sin ⁡ ( 2 ⁢ z ) ⁢ w ′ + ( η - p ⁢ ξ ⁢ cos ⁡ ( 2 ⁢ z ) ) ⁢ w = 0 . superscript 𝑤 ′′ 𝜉 2 𝑧 superscript 𝑤 ′ 𝜂 𝑝 𝜉 2 𝑧 𝑤 0 {\displaystyle{\displaystyle w^{\prime\prime}+\xi\sin\left(2z\right)w^{\prime}% +(\eta-p\xi\cos\left(2z\right))w=0.}}
    0 references
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1bdec
    0 references
    Mathieu’s equation solution
    DLMF defining formula
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C28.S2.XMD1.m1adec
    0 references
    variable
    DLMF defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C28.S31.XMD4.m1adec
    0 references
    variable
    DLMF defining formula
    ξ 𝜉 {\displaystyle{\displaystyle\xi}}
    xml-id
    C28.S31.XMD5.m1adec
    0 references

    Identifiers

     
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